Answer: 2x + 1
Step-by-step explanation:
Answer:
27 and 32.
Step-by-step explanation:
Let the two numbers be A and B.
The larger number (let's use B) is 5 more than the smaller one (A). In other words:

Their sum is 59. So:

This is a system of equations. Solve by substituting the first equation into the second. Thus:

Combine like terms:

Subtract 5 from both sides:

Divide both sides by 2:

So, the smaller number is 27.
This means that the bigger number is 27+5=32.
So, the two numbers are 27 and 32.
And we're done!
The answer of the question is 'b'.
Answer:
<em>The correct answer is the first option</em>
Step-by-step explanation:
<u>Quadratic Equation</u>
The standard form of a quadratic equation is

Sometimes we need to change the expression of the same equation to the form

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.
The given quadratic equation is

Recall the square of a binomial is

The first term is already present. The second term gives us the value of p:

Solving

Now we need to produce the third term
. We only have 41, thus we need to add 8 to both sides of the equation:

The correct answer is the first option